{
  "annotation_id": "5c2d4b42-3a2e-486d-a8fc-10ebb60f9dc0",
  "date_created": "2026-03-02T18:01:42.180000Z",
  "date_modified": "2026-03-02T18:01:42.180000Z",
  "file_hash": "fb4aeb2816885af9badda46aa9e9fc21e36970b23c54ca7624f2fc7c0b72db0f",
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  "record": {
    "abstract": "It is demonstrated that in contrast to the well-known case with a quantum\nparticle moving freely in a real line, the wave packets corresponding to the\ncoherent states for a free quantum particle on a circle do not spread but\ndevelop periodically in time. The discontinuous changes during the course of\ntime in the phase representing the position of a particle can be interpreted as\nthe quantum jumps on a circle.",
    "arxiv_id": "quant-ph/0010064",
    "authors": [
      "K. Kowalski",
      "J. Rembielinski"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(02)00007-5",
    "journal_ref": "Phys. Lett. A, 293 (2002) 109-115",
    "title": "Quantum Jumps on a Circle",
    "url": "https://arxiv.org/abs/quant-ph/0010064"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "01a3074d-7011-47da-b0ca-4b47f987c365",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}